Quantitative Prediction of Effective Toughness at Random Heterogeneous Interfaces

Patinet, Sylvain; Vandembroucq, Damien; Roux, Stéphane

doi:10.1103/physrevlett.110.165507

Cited by 47 publications

(47 citation statements)

References 32 publications

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“…Fig.7-B shows the PDF of E dep for experiment I at strain S b when an avalanche is triggered. This energy is sometimes called the depinning energy, and in the framework of the pinning-depinning theory, several models predict Gaussian statistics [47][48][49][50]. In our case, unlike these models, we observe a power-law distribution, and the measured experimental exponent is close to 1: γ = −1.08 ± 0.1.…”

Section: A Global Avalanchessupporting

confidence: 40%

Local and global avalanches in a two-dimensional sheared granular medium

Barés

Wang

et al. 2017

Phys. Rev. E

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We present the experimental and numerical studies of a 2D sheared amorphous material constituted of bidisperse photo-elastic disks. We analyze the statistics of avalanches during shear including the local and global fluctuations in energy and changes in particle positions and orientations. We find scale free distributions for these global and local avalanches denoted by power-laws whose cutoffs vary with inter-particle friction and packing fraction. Different exponents are found for these power-laws depending on the quantity from which variations are extracted. An asymmetry in time of the avalanche shapes is evidenced along with the fact that avalanches are mainly triggered from the shear bands. A simple relation independent from the intensity, is found between the number of local avalanches and the global avalanches they form. We also compare these experimental and numerical results for both local and global fluctuations to predictions from meanfield and depinning theories.

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Section: A Global Avalanchessupporting

confidence: 40%

Local and global avalanches in a two-dimensional sheared granular medium

Barés

Wang

et al. 2017

Phys. Rev. E

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“…Besides, the results we have presented are complementary to previous studies of elastic interfaces in random media with long-range elasticity [66,67]. We can define the ratio Ξ 0 = D 1/2 /c, which allows to rewrite the finite-size coordinate of the phase diagram ( Fig.…”

Section: Discussionsupporting

confidence: 67%

Driven Interfaces: From Flow to Creep Through Model Reduction

et al. 2016

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The response of spatially extended systems to a force leading their steady state out of equilibrium is strongly affected by the presence of disorder. We focus on the mean velocity induced by a constant force applied on one-dimensional interfaces. In the absence of disorder, the velocity is linear in the force. In the presence of disorder, it is widely admitted, as well as experimentally and numerically verified, that the velocity presents a stretched exponential dependence in the force (the so-called 'creep law'), which is out of reach of linear response, or more generically of direct perturbative expansions at small force. In dimension one, there is no exact analytical derivation of such a law, even from a theoretical physical point of view. We propose an effective model with two degrees of freedom, constructed from the full spatially extended model, that captures many aspects of the creep phenomenology. It provides a justification of the creep law form of the velocity-force characteristics, in a quasistatic approximation. It allows, moreover, to capture the non-trivial effects of short-range correlations in the disorder, which govern the low-temperature asymptotics. It enables us to establish a phase diagram where the creep law manifests itself in the vicinity of the origin in the force -systemsize -temperature coordinates. Conjointly, we characterise the crossover between the creep regime and a linear-response regime that arises due to finite system size.These authors equally contributed to this work. arXiv:1605.04405v2 [cond-mat.stat-mech]

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“…In the latter case, out-of-equilibrium mechanisms may allow the effective property to reach values above the Voigt bound [13,14].…”

Section: Figmentioning

confidence: 99%

Finite-size effects in a model for plasticity of amorphous composites

et al. 2016

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We discuss the plastic behavior of an amorphous matrix reinforced by hard particles. A mesoscopic depinning-like model accounting for Eshelby elastic interactions is implemented. Only the effect of a plastic disorder is considered. Numerical results show a complex size dependence of the effective flow stress of the amorphous composite. In particular, the departure from the mixing law shows opposite trends associated to the competing effects of the matrix and the reinforcing particles, respectively. The reinforcing mechanisms and their effects on localization are discussed. Plastic strain is shown to gradually concentrate on the weakest band of the system. This correlation of the plastic behavior with the material structure is used to design a simple analytical model. The latter nicely captures reinforcement size effects in (logN/N)(1/2), where N is the linear size of the system, observed numerically. Predictions of the effective flow stress accounting for further logarithmic corrections show a very good agreement with numerical results.

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Quantitative Prediction of Effective Toughness at Random Heterogeneous Interfaces

Cited by 47 publications

References 32 publications

Local and global avalanches in a two-dimensional sheared granular medium

Local and global avalanches in a two-dimensional sheared granular medium

Driven Interfaces: From Flow to Creep Through Model Reduction

Finite-size effects in a model for plasticity of amorphous composites

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